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Finding the Third Proportional to 6,686.34 and 10,347.70

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Solution

The third proportional to 6,686.34 and 10,347.70 is: 16,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.34 : 10,347.70 = 10,347.70 : x
  2. Step 2: Convert to fraction form
    6,686.34/10,347.70 = 10,347.70/x
  3. Step 3: Cross multiply
    6,686.34x = 10,347.70 × 10,347.70
  4. Step 4: Simplify right side
    6,686.34x = 107,074,959.96
  5. Step 5: Solve for x
    x = 107,074,959.96/6,686.34
  6. Step 6: Final answer
    x = 16,013.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.